Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 5, Problem 88CRE
a.
To determine
Find the
b.
To determine
Explain the reason that the
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Chapter 5 Solutions
Introductory Statistics
Ch. 5 - Simulation (Example 1) If we flip a coin 10 times,...Ch. 5 - Simulation Suppose you are carrying out a...Ch. 5 - Empirical versus Theoretical A Monopoly player...Ch. 5 - Empirical versus Theoretical A person was trying...Ch. 5 - Empirical versus Theoretical A student flips a...Ch. 5 - Empirical versus Theoretical A bag of candy...Ch. 5 - Medical Group A medical practice group consists of...Ch. 5 - Teacher Effectiveness A recent study found that...Ch. 5 - Probability For each of the values, state whether...Ch. 5 - Probability For each of the values, state whether...
Ch. 5 - Cards (Example 2) There are four suits: clubs ,...Ch. 5 - Playing Cards Refer to exercise 5.11 for...Ch. 5 - Guessing on Tests a. On a true/false quiz in which...Ch. 5 - Guessing on Tests Consider a multiple-choice test...Ch. 5 - Four Coin Tosses (Example 3) The sample space...Ch. 5 - Three Children The sample space shows all possible...Ch. 5 - Birthdays What is the probability that a baby will...Ch. 5 - Playing Cards If one card is selected from a...Ch. 5 - Vacations (Example 4) The Gallup poll asked...Ch. 5 - Reading The Pew Research Center asked a sample of...Ch. 5 - Marijuana Legalization (Example 5) A Gallup poll...Ch. 5 - Marijuana Legalization Use the data in exercise...Ch. 5 - Gender Discrimination in Tech (Example 6) A Pew...Ch. 5 - Gender Discrimination in Tech Use the data in...Ch. 5 - Mutually Exclusive Suppose a person is selected at...Ch. 5 - Mutually Exclusive Suppose a student is selected...Ch. 5 - Vacations (Mutually Exclusive) (Example 7)...Ch. 5 - Vacations (Not Mutually Exclusive) Refer to the...Ch. 5 - Fair Die (Example 8) Roll a fair six-sided die. a....Ch. 5 - Fair Die Roll a fair six-sided die. a. What is the...Ch. 5 - Grades Assume that the only grades possible in a...Ch. 5 - Changing Multiple-Choice Answers One of the...Ch. 5 - Commuting A college conducted a student survey to...Ch. 5 - Political Parties Political science researchers...Ch. 5 - Super Powers (Example 9) A 2018 Marist poll asked...Ch. 5 - Online Presence A 2018 Pew poll asked U.S. adults...Ch. 5 - Thumbtacks When a certain type of thumbtack is...Ch. 5 - Thumbtacks When a certain type of thumbtack is...Ch. 5 - Multiple-Choice Exam An exam consists of 12...Ch. 5 - Driving Exam A driving exam consists of 30...Ch. 5 - Equal Rights for Women (Example 10) A recent Pew...Ch. 5 - Equal Rights for Women A person is selected...Ch. 5 - Frequent Stress (Example 11) A Gallup poll asked...Ch. 5 - Frequent Stress Use the data in exercise 5.43 for...Ch. 5 - Independent? Suppose a person is chosen at random....Ch. 5 - Independent? About 12#37; of men and 10#37; of...Ch. 5 - Independent? Suppose a person is chosen at random....Ch. 5 - Independent? Ring sizes typically range from about...Ch. 5 - Equal Rights Poll (Example 12) Refer to the table...Ch. 5 - Equal Rights Poll Assume a person is selected...Ch. 5 - Hand Folding (Example 13) When people fold their...Ch. 5 - Dice When two dice are rolled, is the event “the...Ch. 5 - TV News Source and Gender (Example 14) A 2018 Pew...Ch. 5 - TV News Source and Gender Using the table in...Ch. 5 - Coin (Example 15) Imagine flipping three fair...Ch. 5 - Die Imagine rolling a fair six-sided die three...Ch. 5 - Die Sequences (Example 16) Roll a fair six-sided...Ch. 5 - Babies Assume that babies born are equally likely...Ch. 5 - Vacations (Example 17) According to a recent...Ch. 5 - Landlines and Cell Phones According to the...Ch. 5 - Cervical Cancer (Example 18) According to a study...Ch. 5 - Cervical Cancer About 8 women in 100,000 have...Ch. 5 - Rolling Sixes (Example 19) What’s the probability...Ch. 5 - Rolling a Sum of 7 What’s the probability of...Ch. 5 - Multiple-Choice Test (Example 20) A...Ch. 5 - True/False Test A true/false test has 20...Ch. 5 - Simulating Coin Flips (Example 21) a. Use the line...Ch. 5 - Simulating Rolling a Die a. Explain how you could...Ch. 5 - Law of Large Numbers Refer to Histograms A, B, and...Ch. 5 - Law of Large Numbers The table shows the results...Ch. 5 - Coin Flips Imagine flipping a fair coin many...Ch. 5 - Coin Flips, Again Refer to the following figure....Ch. 5 - Law of Large Numbers: Gambling Betty and Jane are...Ch. 5 - LLN: Grandchildren Consider two pairs of...Ch. 5 - LLN: Coin If you flip a fair coin repeatedly and...Ch. 5 - LLN: Die The graph shows the average when a...Ch. 5 - Jury Duty A jury is supposed to represent the...Ch. 5 - Left-handed Some estimates say that 10#37; of the...Ch. 5 - Simulation: Four-Sided Die a. Explain how you...Ch. 5 - Simulation: Six-Sided Die a. Explain how you could...Ch. 5 - Prob. 81CRECh. 5 - Prob. 82CRECh. 5 - Independent Variables Use your general knowledge...Ch. 5 - Independent Variables Use your general knowledge...Ch. 5 - Prob. 85CRECh. 5 - Prob. 86CRECh. 5 - Prob. 87CRECh. 5 - Prob. 88CRECh. 5 - Birthdays Suppose all the days of the week are...Ch. 5 - Pass Rate of Written Driver’s Exam In California,...Ch. 5 - Prob. 91CRECh. 5 - Reading Habits In 2016 the Pew Research Center...Ch. 5 - Prob. 93CRECh. 5 - Prob. 94CRECh. 5 - Prob. 95CRECh. 5 - Cell Phone Security A 2017 Pew Research poll found...Ch. 5 - Coin Flips Let H stand for heads and let T stand...Ch. 5 - Prob. 98CRECh. 5 - Prob. 99CRECh. 5 - Online Dating The Pew Research Center asked a...Ch. 5 - CA Bar Exam In order to practice law, lawyers must...Ch. 5 - Driving Tests In addition to behind-the-wheel...Ch. 5 - California Recidivism and Gender Women return to...Ch. 5 - Blue Eyes About 17#37; of American men have blue...Ch. 5 - Prob. 105CRECh. 5 - Prob. 106CRECh. 5 - Law of Large Numbers A famous study by Amos...Ch. 5 - Law of Large Numbers A certain professional...Ch. 5 - Climate Change and Political Party In 2016 a Pew...Ch. 5 - Climate Change and Political Party Refer to the...Ch. 5 - Prob. 111CRECh. 5 - Prob. 112CRECh. 5 - Prob. 113CRECh. 5 - Prob. 114CRECh. 5 - Prob. 115CRECh. 5 - Prob. 116CRECh. 5 - Prob. 117CRECh. 5 - Prob. 118CRECh. 5 - Prob. 119CRECh. 5 - Prob. 120CRECh. 5 - Prob. 121CRECh. 5 - Multiple-Choice Test A multiple-choice test has 10...Ch. 5 - Simulating Guessing on a Multiple-Choice Test...Ch. 5 - Simulating Guessing on a True/False Test Perform a...Ch. 5 - Red Light/Green Light A busy street has three...Ch. 5 - Soda A soda-bottling plant has a flaw in that...
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- a) Let X and Y be independent random variables both with the same mean µ=0. Define a new random variable W = aX +bY, where a and b are constants. (i) Obtain an expression for E(W).arrow_forwardThe table below shows the estimated effects for a logistic regression model with squamous cell esophageal cancer (Y = 1, yes; Y = 0, no) as the response. Smoking status (S) equals 1 for at least one pack per day and 0 otherwise, alcohol consumption (A) equals the average number of alcohoic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites. Variable Effect (β) P-value Intercept -7.00 <0.01 Alcohol use 0.10 0.03 Smoking 1.20 <0.01 Race 0.30 0.02 Race × smoking 0.20 0.04 Write-out the prediction equation (i.e., the logistic regression model) when R = 0 and again when R = 1. Find the fitted Y S conditional odds ratio in each case. Next, write-out the logistic regression model when S = 0 and again when S = 1. Find the fitted Y R conditional odds ratio in each case.arrow_forwardThe chi-squared goodness-of-fit test can be used to test if data comes from a specific continuous distribution by binning the data to make it categorical. Using the OpenIntro Statistics county_complete dataset, test the hypothesis that the persons_per_household 2019 values come from a normal distribution with mean and standard deviation equal to that variable's mean and standard deviation. Use signficance level a = 0.01. In your solution you should 1. Formulate the hypotheses 2. Fill in this table Range (-⁰⁰, 2.34] (2.34, 2.81] (2.81, 3.27] (3.27,00) Observed 802 Expected 854.2 The first row has been filled in. That should give you a hint for how to calculate the expected frequencies. Remember that the expected frequencies are calculated under the assumption that the null hypothesis is true. FYI, the bounderies for each range were obtained using JASP's drag-and-drop cut function with 8 levels. Then some of the groups were merged. 3. Check any conditions required by the chi-squared…arrow_forward
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- The accompanying data represent the weights (in grams) of a simple random sample of 10 M&M plain candies. Determine the shape of the distribution of weights of M&Ms by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the weight of a plain M&M? Click the icon to view the candy weight data. Draw a frequency histogram. Choose the correct graph below. ○ A. ○ C. Frequency Weight of Plain M and Ms 0.78 0.84 Frequency OONAG 0.78 B. 0.9 0.96 Weight (grams) Weight of Plain M and Ms 0.84 0.9 0.96 Weight (grams) ○ D. Candy Weights 0.85 0.79 0.85 0.89 0.94 0.86 0.91 0.86 0.87 0.87 - Frequency ☑ Frequency 67200 0.78 → Weight of Plain M and Ms 0.9 0.96 0.84 Weight (grams) Weight of Plain M and Ms 0.78 0.84 Weight (grams) 0.9 0.96 →arrow_forwardThe acidity or alkalinity of a solution is measured using pH. A pH less than 7 is acidic; a pH greater than 7 is alkaline. The accompanying data represent the pH in samples of bottled water and tap water. Complete parts (a) and (b). Click the icon to view the data table. (a) Determine the mean, median, and mode pH for each type of water. Comment on the differences between the two water types. Select the correct choice below and fill in any answer boxes in your choice. A. For tap water, the mean pH is (Round to three decimal places as needed.) B. The mean does not exist. Data table Тар 7.64 7.45 7.45 7.10 7.46 7.50 7.68 7.69 7.56 7.46 7.52 7.46 5.15 5.09 5.31 5.20 4.78 5.23 Bottled 5.52 5.31 5.13 5.31 5.21 5.24 - ☑arrow_forwardく Chapter 5-Section 1 Homework X MindTap - Cengage Learning x + C webassign.net/web/Student/Assignment-Responses/submit?pos=3&dep=36701632&tags=autosave #question3874894_3 M Gmail 品 YouTube Maps 5. [-/20 Points] DETAILS MY NOTES BBUNDERSTAT12 5.1.020. ☆ B Verify it's you Finish update: All Bookmarks PRACTICE ANOTHER A computer repair shop has two work centers. The first center examines the computer to see what is wrong, and the second center repairs the computer. Let x₁ and x2 be random variables representing the lengths of time in minutes to examine a computer (✗₁) and to repair a computer (x2). Assume x and x, are independent random variables. Long-term history has shown the following times. 01 Examine computer, x₁₁ = 29.6 minutes; σ₁ = 8.1 minutes Repair computer, X2: μ₂ = 92.5 minutes; σ2 = 14.5 minutes (a) Let W = x₁ + x2 be a random variable representing the total time to examine and repair the computer. Compute the mean, variance, and standard deviation of W. (Round your answers…arrow_forward
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